A New Approach for Assessing Credit Risks under Uncertainty

*Teimuraz Tsabadze*

### **Abstract**

The purpose of this chapter is to introduce a new approach for an assessment of the credit risks. The initial part of the chapter is to briefly discuss the existing models of assessment of the credit risks and justify the need for a new approach. Since a new approach is created for conditions of uncertainty, we cannot do without fuzzy mathematics. The proposed approach is based on group decision-making, where experts' opinions are expressed by trapezoidal fuzzy numbers. The theoretical basis of the offered approach is laid out in the metric space of trapezoidal fuzzy numbers. The new approach is introduced and discussed, and two realization algorithms are given. The toy example of application of the introduced approach is offered as well.

**Keywords:** group decision-making, fuzzy set, linguistic variable, parameter, credit risk, assessment, trapezoidal fuzzy number, aggregation, algorithm
